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226404575620 = 225416119012381
BaseRepresentation
bin1101001011011011000…
…0111010100110000100
3210122101112011002211121
43102312300322212010
512202134032404440
6252001523443324
722233342066016
oct3226660724604
9718345132747
10226404575620
1188021531723
1237a66526544
1318471846a12
14ad5ac0c1b6
155d515e234a
hex34b6c3a984

226404575620 has 96 divisors (see below), whose sum is σ = 495498723552. Its totient is φ = 86822400000.

The previous prime is 226404575603. The next prime is 226404575641. The reversal of 226404575620 is 26575404622.

It can be written as a sum of positive squares in 16 ways, for example, as 224086730884 + 2317844736 = 473378^2 + 48144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95086830 + ... + 95089210.

It is an arithmetic number, because the mean of its divisors is an integer number (5161445037).

Almost surely, 2226404575620 is an apocalyptic number.

226404575620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226404575620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247749361776).

226404575620 is an abundant number, since it is smaller than the sum of its proper divisors (269094147932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226404575620 is a wasteful number, since it uses less digits than its factorization.

226404575620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 226404575620 in words is "two hundred twenty-six billion, four hundred four million, five hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 1901 2381 2501 3802 4762 5002 7604 9505 9524 10004 11905 12505 19010 23810 25010 38020 47620 50020 77941 97621 115961 145241 155882 195242 231922 290482 311764 389705 390484 463844 488105 579805 580964 726205 779410 976210 1159610 1452410 1558820 1952420 2319220 2904820 4526281 4754401 5954881 9052562 9508802 11909762 18105124 19017604 22631405 23772005 23819524 29774405 45262810 47544010 59548810 90525620 95088020 119097620 185577521 276103141 371155042 552206282 742310084 927887605 1104412564 1380515705 1855775210 2761031410 3711550420 5522062820 11320228781 22640457562 45280915124 56601143905 113202287810 226404575620